Roy Table: A Program for Generating Tables of Critical Values for Roy’s Largest Root Criterion

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Abstract
Roy’s largest root criterion is one of several multivariate test statistics available to the data analyst. Although it has a number of desirable properties to recommend it, no transformation to a more commonly tabulated statistic (such as the F ratio) exists, and the published tables for Roy’s criterion are quite limited in terms of levels of statistical significance and values of the distribution parameters. This article describes a PC-based program that permits the user to generate tables of critical values for Roy’s criterion for any level of statistical significance and for any set of distribution parameters. Roy Table is useful for the researcher who needs a more detailed tabulation of critical values than currently available and for the textbook author who wants to customize the tables being made available to the reader.